This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A096492 #10 Nov 10 2021 07:06:59 %S A096492 1,1,2,1,1,2,2,2,1,1,2,2,2,3,2,1,1,2,4,2,3,4,3,2,1,1,2,3,3,2,4,2,3,3, %T A096492 2,1,1,2,2,2,2,2,4,3,3,5,3,2,1,1,2,4,3,4,2,2,3,2,4,3,5,3,2,1,1,2,5,2, %U A096492 4,3,4,2,3,2,2,5,4,3,3,2,1,1,2,2,3,4,2,3,3,2,3,4,4,6,3,3,3,3,2,1,1,2,5,2,2 %N A096492 Number of distinct terms in continued fraction period of square root of n. %C A096492 Essentially the same as A028832. - _Amiram Eldar_, Nov 10 2021 %F A096492 a(n) = 1 if n is a square and a(n) = A028832(n) otherwise. - _Amiram Eldar_, Nov 10 2021 %e A096492 n=127: the period={3,1,2,2,7,11,7,2,2,1,3,22},distinct-terms={1,2,3,7,11,22}, so a[127]=6; %t A096492 {tc=Table[0, {m}], u=1}; Do[s=Length[Union[Last[ContinuedFraction[n^(1/2)]]]]; tc[[u]]=s;u=u+1, {n, 1, m}], tc %Y A096492 Cf. A003285, A013646, A028832, A096491, A096493. %K A096492 nonn %O A096492 1,3 %A A096492 _Labos Elemer_, Jun 29 2004